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Your reasoning will no doubt be seen again and again when we are conversing with atheists. As you say,
Without anisotropy we could not exist; without isotropy we cannot survive.
And yes, it certainly should cause people to recognize "Divine Providence" - i.e. that God is the Creator.
QUESTION: how can one explain (mathematically or otherwise) that both isotropy and anisotropy coexist in our universe -- without invoking an external "Cause"?
I don't see how they can explain it away. It would be interesting to watch and I'm pinging a few from a thread about atheism to solicit their response to the challenge, if they have a response.

I do not identify as an atheist, but regardless, I don't understand the value of this argument. It seems as though you've chosen a phenomenon that you don't think science will ever be able to explain and said, "See? That means God must have done it." But what do you do if science does explain it? What if there turns out to be a perfectly reasonable, all-nature explanation for the existence of both isotropy and anisotropy? What does that do to your confidence in Divine Providence? Why make God dependent on what we understand and don't understand about how His universe works?

It's awesome, like the observation that there is no known origin for inertia, information [Shannon, successful communication], space/time, autonomy and so on.

By His own choice, there will be no logical proofs or empirical tests to "find" Him.

For it is written, I will destroy the wisdom of the wise, and will bring to nothing the understanding of the prudent.

Where [is] the wise? where [is] the scribe? where [is] the disputer of this world? hath not God made foolish the wisdom of this world? For after that in the wisdom of God the world by wisdom knew not God, it pleased God by the foolishness of preaching to save them that believe.

For the Jews require a sign, and the Greeks seek after wisdom: - I Cor 1:19-22

Man is not the measure of God.

Nevertheless, we can observe and be amazed at His creation and see His hand in everything!

For the invisible things of him from the creation of the world are clearly seen, being understood by the things that are made, [even] his eternal power and Godhead; so that they are without excuse: Because that, when they knew God, they glorified [him] not as God, neither were thankful; but became vain in their imaginations, and their foolish heart was darkened. Professing themselves to be wise, they became fools, - Romans 1:20-22

I for one see mathematics as God's copyright notice on the cosmos (Wigner, "The Unreasonable Effectiveness of Mathematics in the Natural Sciences.")

Others may be in awe of God by seeing a newborn child, a cathedral, a mountain range, a glimpse of deep space, hearing certain sounds and so on.

The heavens declare the glory of God; and the firmament sheweth his handywork. Day unto day uttereth speech, and night unto night sheweth knowledge. [There is] no speech nor language, [where] their voice is not heard. - Psalms 19:1-3

Knowing God is a very personal thing.

God is not a hypothesis. He lives. His Name is I AM. I've known Him for a half century and counting.

Indeed, I know Him better than I know my older brother. No one doubts me when I tell them about my older brother, but yet some doubt me when I tell them about God. LOLOL! Go figure...